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Jlenok [28]
3 years ago
10

Beth wants to make an enlargement of a photograph she has and give it as a gift to her grandma. The picture Beth has measures 4

inches by 6 inches. Beth's grandma has a frame with a side of 10 (See below)
When Beth goes to the photoshop, the technician asks Beth for a scale factor for the enlargement. What number does Beth need to tell him for the right size?
​

Mathematics
1 answer:
alexdok [17]3 years ago
7 0

Answer:

The second side would be 15 inches.

Step-by-step explanation:

In order to determine the other side, create a proportion. On the left side, use the original dimensions. On the right side, use the new dimensions with x as the unknown.

4/6 = 10/x

Now cross multiply to solve.

10*6 = 4*x

60 = 4x

15 = x

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Does 0.4 equal 0.4%? Explain.
insens350 [35]

Answer:

its 40%

Step-by-step explanation:

ok so its 0.4 and there's a 0 in it so you swop the number and then you get it and. I hope you enjoy.

8 0
3 years ago
Find the derivative of the function y = 2x^2 - 13x + 5 and use it to find the equation of the line tangeant to the curve at x =
ser-zykov [4K]
Y = 2x^2 - 13x + 5
dy/dx = 4x - 13

At x = 3, dy/dx = 4(3) - 13 = 12 - 13 = -1
and y = 2(3)^2 - 13(3) + 5 = 2(9) - 39 + 5 = 18 - 34 = -16

The tangent line at x = 3, passes through the point (3, -16) and has a slope of -1
y - (-16) = -1(x - 3)
y + 16 = -x + 3
y = -x - 13 is the required equation.
3 0
3 years ago
Write an expression in factored form to represent the volume in the canister not occupied by the tennis balls.
olya-2409 [2.1K]

Answer:

\implies V=\pi r^2(h-4 r)

Step-by-step explanation:

Volume of the canister LESS the volume of 3 tennis balls:

V=\pi r^2h-3\left(\dfrac43\pi r^3\right)

Expand brackets:

\implies V=\pi r^2h-4\pi r^3

Factor:

\implies V=\pi r^2(h-4 r)

3 0
2 years ago
Read 2 more answers
Find the domain of the rational expression.<br> f(x) = (x + 7)(x-4)
tankabanditka [31]

If you wrote the expression correctly, then

f(x)=(x+7)(x-4)=x^2+3x-28

Is a polynomial, and thus defined everywhere: its domain is the set of all real numbers.

If, by chance, you meant

f(x)=\dfrac{x+7}{x-4}

Then we must exclude the point x=4 from the domain, since that value would cause the denominator to vanish. So, the domain would be the set of real numbers, minus the number 4.

4 0
3 years ago
PLEASE HELP
Licemer1 [7]

Answer:

1/2

Step-by-step explanation:

Triangle FGH was dilated to create triangle ABC

The image is a reduction so scale factor is between 0 and 1

2.5/5 = 3.5/7 = 4.3 / 8.6

= 0.5  

= 1/2

Answer

1/2

3 0
3 years ago
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